Since your husband lives with his grandmother and does not have any bills in his name, he should arrange some bills transferred to his name and your's for the purpose of getting the REAL ID driver's license/state ID. The REAL ID will be your proof of residency.
Some bills may require the owner of the property like the water bill in the county we live in Georgia. Most other bills like electricity, gas, phone, cable, internet, trash pickup, etc. can be transferred to the tenants name. In Georgia, you just need 2 different utility billing statements to get the REAL ID.